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Finding the Fourth Proportional to 497,419.50, 686,439 and 271,065

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Solution

The fourth proportional to 497,419.50, 686,439 and 271,065 is: 374,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,419.50 : 686,439 = 271,065 : x
  2. Step 2: Convert to fraction form
    497,419.50/686,439 = 271,065/x
  3. Step 3: Cross multiply
    497,419.50x = 686,439 × 271,065
  4. Step 4: Simplify right side
    497,419.50x = 186,069,587,535
  5. Step 5: Solve for x
    x = 186,069,587,535/497,419.50
  6. Step 6: Final answer
    x = 374,069.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.